A tree in Kira's backyard is 1/4 meters tall. It has been growing for 2 4/5 years.
What is the unit rate in meters per year?

Answers

Answer 1

Answer:

0.0893 meters per year

Step-by-step explanation:

1/4 is 0.252 4/5 is 2.8divide height by year to get height gain per year0.25/2.8 = 0. 0893 (to 3 SF)

Related Questions

How do you convert joules to kJ

Answers

Answer:

Divide by 1000.

Step-by-step explanation:

For example, 1 joule is 0.001 kilo joule.

1 divided by 1000 is 0.001.

If there were 30 joules, there would be 0.032 kilo joules.

The product of a number and 7 less than the number is 30. Find the number.

Answers

Answer:

-3 or 10

Step-by-step explanation:

[tex]x(x - 7) = 30[/tex]

[tex] {x}^{2} - 7x = 30[/tex]

[tex] {x}^{2} - 7x - 30 = 0[/tex]

[tex](x - 10)(x + 3) = 0[/tex]

x = -3 or 10

How many four- digit numbers can be formed from the digit 1,3,4,5,6&7 where the digit is used at most once?( repetition are not allowed)
a)if the number must be odd
b)if the number must be even​

Answers

Answer:

A. 24

B. I don't think you can make any since you can't repeat numbers and there is only two even numbers

Also, if you use all six numbers, it's 120 combos

Ollie drank 1/2 of a 16 fluid ounce bottle of juice how many cups of juice are left in the bottle explain

Answers

Answer:

Step-by-step explanation:

1 cup is left because 16 ounces is 2 cups so half would be one

if your expenses total $5,600 per month. you charge$25 per hour and have contracts for study work that total 45 hours per week for 52 weeks of the year. How does this rate cover your expenses?

Answers

Answer:

$8700

Step-by-step explanation:

since there are 12 months in a year:

5600 x 12 = $67200

pay per week: 25 x 45 = $1125

pay per year: 1125 x 52 = $58500

67200 - 58500 = $8700 left over

not too sure by what you meant with the question (How does this rate cover your expenses?) but i hoped this helped in some way :)

Marian is 29 and her base premium for auto insurance is $1239.
What does she pay in total premiums?
O$1239.00
O$1379.80
O $1551.60
O $1610.70

Answers

Answer: $1239.00

Step-by-step explanation:

I had to recheck on this.

For females that are ages 25-29, they have base auto insurance rate, meaning that the rate is set at 1. So multiply the base premium and base rate, 1239x1, and obviously it's the same 1239.

Hope this helped.

What is the kinetic energy of a 50-kg child running to catch the school bus at 2 m/s

Answers

Answer:

100 J

Step-by-step explanation:

The formula for kinetic energy is as follows:

[tex]\boxed{KE= \frac{1}{2} mv²}[/tex]

where

KE= kinetic energy (J)

m= mass (kg)

v= velocity (m/s)

Given: m= 50 kg, v= 2 m/s

Substituting the given information into the formula:

KE

= ½(50)(2²)

= ½(50)(4)

= 100 J

Subtract 89.768 from 201.316
show your work​

Answers

Answer:

111.548

-------------------------------

Subtract 201 from 89.

[tex]201 - 89 = 112[/tex]

we can estimate the answer will be close to 112

Next, work with the decimals. Note that the more you subtract, the bigger the decimal places get.

[tex]0.768 - 0.316 = 0.452[/tex]

Round 0.452 up from the hundredths place to nearest tenths place.

[tex]0.452 = 0.5[/tex]

Since the decimal place is bigger, estimate 0.55 instead.

Subtract 0.22

[tex]0.55 - 0.2 = 0.548[/tex]

Add this number to 112

[tex]112 + 0.548 = 112.548[/tex]

Subtract 1 because of the estimate.

[tex]112 - 1 = 111[/tex]

Therefore, we have 111.548 based off of subtracting and estimating in a specific method.

If the vertex angle of an isosceles triangle is 39°, what is the measure of each base angles?

A. 71°
B. 70.5°
C. 81°
D. 80.5°
Other:----------------------------------

Answers

Step-by-step explanation:

Total =180°

Top vertex=39°

2base angles=180-39

2base angles=141

base anglez=141/2

base angle=70.5°

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A group of 200 people who exercise regularly reported the following exercise habits :
5 people run
65 people swim or run
30 people swim and run

If a person from this group is selected at random , what is the probability that the person swims ?

Answers

Answer:

9/20

Step-by-step explanation:

65 people swim or run

BUT

5 people just run

so

60 people swim or run

+

30 people swim and run

90/200 =

9/20

Look at this function:


x y
−3 −8
−2 −6
−1 −4
0 0


Matt said that the function is linear.

Justine said that the function is nonlinear.

Which of the following explains who is correct?
Matt, because for every 1-unit increase in x, there is an increase in y by 2
Matt, because for every 2-unit increase in x, there is an increase in y by 1
Justine, because the point (−3, −8) does not lie on the straight line that contains the other points
Justine, because the point (0, 0) does not lie on the straight line that contains the other points

Answers

Justine, because the point (0, 0) does not lie on the straight line that contains the other points.

Explanation:

See the graph below. The following coordinates are not in a stright line.

Hence, it is a non linear function. Justine is right.

When drawn a straight line. the coordinates: (0,0) does not lie on the line.

Find the area of the triangle.

Answers

Answer:

20 m²

Step-by-step explanation:

Formula (Area of triangle):

[tex]\text{A (Triangle)} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]

From the triangle, we can see that the base of the triangle is "7 + 3" m and the height of the triangle is "4" m.

[tex]\implies \text{A (Triangle)} = \dfrac{1}{2} \times (7 + 3) \times (4)[/tex]

Simplify the right-hand-side as needed to evaluate the area.

[tex]\implies \text{A (Triangle)} = \dfrac{1}{2} \times (10) \times (4)[/tex]

[tex]\implies \text{A (Triangle)} = \dfrac{40}{2} = 20 \ \text{m}^{2}[/tex]

Therefore, the area of the provided triangle is 20 m².

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Bob has $600 in a savings account that earns' 5% annually. The interest is not compounded
How much interest will he earn in 1 year?

Use the formula /= prt, where I is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.

Answers

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$600\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &1 \end{cases} \\\\\\ I = (600)(0.05)(1)\implies I=30[/tex]

Answer:

30

Step-by-step explanation:

You would frist start by mutiplying 600 you principal by .05 your rate which equals 30. The you would multiply that by you time which is 1.

station at any time?
OA. 100
OB. 80
OC. 40
OD. 20

Answers

Step-by-step explanation:

Station at any time A 100


22. A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.
(b) What is the slope of the graph and what does it represent?

Answers

A small-appliance manufacturer finds that it costs $9000 to produce 1000 toaster ovens a week and $12,000 to produce 1500 toaster ovens a week.

A recipe uses 3 cups of sugar to make 48 pieces of taffy. How much sugar would it take to make 72 pieces of taffy​

Answers

Answer:

4.5 cups of sugar

Step-by-step explanation:

This is how i solved it...

3 cups sugar = 48 pc. taffy

??? cups sugar = 72 pc. taffy

48 x 1.5 = 72

that means 3 x 1.5 should get you how many cups!

3 x 1.5 = 4.5

4.5 cups of sugar! hope this helps!!!

Answer:

3 1/2 cups of sugar

Step-by-step explanation:

3=48

3 1/2= 72

2) What is the area of the parallelogram?

A. 16 square centimeters

B. 30 square centimeters

C. 60 square centimeters

D. 120 square centimeters ​

(20 points)

Answers

given:

height= 6 cm

base= 10 cm

to find:

the area of the parallelogram.

solution:

[tex]formula = bh[/tex]

[tex]a = 6 \times 10[/tex]

[tex]a = 60 {cm}^{2} [/tex]

therefore, the area of the parallelogram is 60 square centimeters.

answer= option c.

Manufacturers of tires report that tires should be able to last an average of 50,000 miles. A new tire company produces a different type of tread and tests 100 randomly selected tires. This sample of 100 tires lasted an average of 52,000 miles. Assuming the new type of tread does not improve the mileage of the tire, 200 sample means were simulated and displayed on the dotplot.



Using the dotplot and the sample mean mileage, is there convincing evidence that the new type of tread improves the mileage?

Yes, because a mean mileage of 52,000 or more occurred only 7 out of 200 times, the mean mileage is statistically significant. There is convincing evidence the new type of tire tread improves mileage of the tire.
Yes, because a mean mileage of 52,000 or less occurred 193 out of 200 times, the mean mileage is statistically significant. There is convincing evidence the new type of tire tread improves mileage of the tire.
No, because a mean mileage of 52,000 or less occurred 193 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.
No, because a mean mileage of 52,000 or more occurred 7 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.

Answers

The convincing evidence is Yes, because a mean mileage of 52,000 or more occurred only 7 out of 200 times, the mean mileage is statistically significant.

What is a dot plot?

A dot plot is known to have the same characteristics as  a bar graph as both are made up of different height of “bar” that consist of dots which is said to be equal to the number of items in any of the stages or categories.

Conclusively, when a person  uses a dot plot and the sample mean mileage, one will be able to find a convincing evidence that the new type of tread improves the mileage because out of  mean mileage of 52,000 or more, only 7 out of 200 times,  took place and this shows that the mean mileage is statistically significant and that the new type of tire tread boast the mileage of the tire.

Therefore, option A is correct.

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Answer:

Theres another question that looks like this one, the awnser to that is

^              ^               ^              ^              ^

No, because a mean mileage of 51,500 or more occurred 14 out of 200 times, the mean mileage is not statistically significant. There is not convincing evidence the new type of tire tread improves mileage of the tire.

Step-by-step explanation:

but the guy above me is correct

Easy math what one a b c d e

Answers

Answer:

problem 14 = E

Step-by-step explanation:

well that's all ther is to it, it's E because y or x being 0 would make the equation undefined

PLEASE HELP ASAP WILL MARK BRAINLIEST!
Solve and show your work for each question.
Note: Remember per the rule of 9s if you have a repeating and non-repeating component you need
to handle them separately.
(a) What is 0.47 expressed as a fraction in simplest form?
(b) What is 0.4-7 expressed as a fraction in simplest form?
(c) What is 0. -47 expressed as a fraction in simplest form?
There are lines above the seven in decimal B and the line in decimal C is above both numbers. pleaseeeee help me

Answers

Answer:

See below

Step-by-step explanation:

a)   47/100

b)  .4777777.....   =x

      then 10x = 4.77777....

      100x = 47.777777 ....   now subtract 10x to get

          90x = 43

             x = 43/90

c) .4747474747......   = x

        100x = 47.474747    now subtract x to get

          99x = 47

             x = 47/99

What are the possible transformations that could have been used to create the red figure A'B'C'D' from the blue
figure ABCD?
A
D'
-5-4-3-2-1. B
3 A 5 x
-2
a reflection across
the y axis followed by a translation of 5 units up and 5 units left
O a reflection across the y axis followed by a 90-degree rotation counterclockwise about the origin
a rotation of 90 degrees counterclockwise about the origin followed by a reflection across the y axis
A
5
4
3
2
B
BB
Ni
& &
2

Answers

Answer:

Second option.

Step-by-step explanation:

A reflection across the y axis followed by a counterclockwise rotation around the origin.

The answer is the second option

What are the coordinates of point J’ after the rotation?

Answers

Step-by-step explanation:

(5,4) is the coordinate of the point j after rotation

(18) (3, -2) lies on terminal side of angle (θ).

Find the EXACT value of sec (θ)

Show steps

Answers

By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.

How to apply trigonometric expressions

Trigonometric expressions are trascendent expressions derived from relationships between sides of the triangle contained in a goniometrical diagram.

There are at least six trigonometric expressions: sine, cosine, tangent, cotangent, secant, cosecant. The first two expressions are fundamental, whereas the rest are derived from them.

We can derive an expression for the secant of the angle by applying trigonometric expressions:

[tex]\sec \theta = \frac{1}{\cos \theta} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]     (1)

If we know that x = 3 and y = - 2, then the secant of the angle is:

[tex]\sec \theta = \frac{\sqrt{3^{2}+(-2)^{2}}}{3}[/tex]

sec θ ≈ 1.202

By applying fundamental and derivate trigonometric expressions it is to be concluded that the secant of the line segment whose terminal side is (3, - 2) is approximately 1.202.

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Order the numbers from least to greatest -1 -1/4 -1 1/2 3/4 and 1/8

Answers

Answer:

-11/2

-1

-1/4

1/8

3/4

Step-by-step explanation:

-11/2 = -5 1/2

-1 = -1

-1/4 = -1/4

1/8 = 1/8

3/4 = 6/8

Consider the following graph, which details one bookstore’s sales over the course of one day, divided by genre.

A graph titled Book Sales by Genre has genre on the x-axis and Number sold on the y-axis. Romance, 52; horror, 55; Fantasy, 60; Biograph, 57; Humor, 58; Cookbook, 54.

By percent, how much greater do sales of horror books appear to be than sales of cookbooks? How much greater are they in reality?

Answers

The percent by which the sales of horror books is greater than sales of cookbook is 1.85% approx.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

Given that:

        Genre       number sold

Romance          52Horror               55Fantasy             60Biography         57Humor               58Cookbook         54

Let we have:
Number of horror books sold = P% greater than number of cookbooks sold

55 = P% greater than 54

55 = 54 + P% of 54

1 = P% of 54

[tex]1 = \dfrac{P}{100} \times 54\\\\P = \dfrac{100}{54} \approx 1.85[/tex]

Thus, the percent by which the sales of horror books is greater than sales of cookbook is 1.85% approx.

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Answer:

Say that you put the set of tiles shown below into a bag and conduct a series of trials in which you draw one tile randomly from the bag, record the color, and replace it. The table below shows the number of times in each set of trials that you drew a blue tile.

Round tiles: 5 purple, 6 orange, 2 yellow, 4 red, 1 white, 10 blue, 5 black, 3 green.

Trial

1

2

3

4

5

# of Draws

54

36

80

22

75

# of Blues

18

11

20

4

32

         

Between the theoretical probability that you will draw a blue tile and the experimental probability that you will draw a blue tile, which is greater, and how much greater is it? Express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 12% is 2 percentage points greater than 10%).

a.

The theoretical probability is 2.78 percentage points greater than the experimental probability.

b.

The theoretical probability is 1.49 percentage points greater than the experimental probability.

c.

The experimental probability is 4.06 percentage points greater than the theoretical probability.

d.The experimental probability is 2.17 percentage points greater than the theoretical probability.  <<<CORRECT

Step-by-step explanation:

Edge 2022

When designing a training plan, what do you need to think about?
A. Frequency, rest, progression
B. Moderation, progression and overtraining
C. Rest, goals, overload
D. Frequency, overtraining, time

Answers

D. Frequency, overtraining, time

How many solutions exist for the given equation?

3x + 13 = 3(x + 6) + 1

Answers

Answer:

0

Step-by-step explanation:

3x+13 = 3(x+6)+1

3x+13=3x+19

13=19

This is never true so there are 0 solutions

If the x's didnt cancel out, you could use the fundemental theorom of algebra, which states that in the simplest form(nothing will cancel out anymore), the highest degree(highest power) on a variable is the number of solutions.

Evaluate 3x+ y when x equals 1/3 and y equals -7/4. Write your answer as a fraction in simplest form.

Please help!! Thanks!!

Answers

Answer:

-3/4

Step-by-step explanation:

Put in the values for 'x' and 'y'

3 * (1/3) +  (-7/4)

   1        -  7/4

4/4       - 7/4

(4-7)/4   = -3/4

Performance Task A. Directions: Solve the problem and answer the following questions. Renz' family attended a pool party. The pool is circular in shape. He wants to find out the area of the pool. If the radius is six meter, what could be the area? Fill in the blanks. 1. The radius of the pool is m 2. The diameter of the pool is __m 3. The value of pi is 4. Formula in finding the area of a circle 5. Area of the swimming pool X m²​

Answers

Answer: 144 meters

Step-by-step explanation: area of circle = r^2

6^2 = 36 = 144 Meters given = 4

radius of pool is 6 meters

diameter of pool is 12 meters

= 4

area of circle = r^2

area of swimming pool is 144 meters

If it take 8 cups of flour to make 4 Loaves of bread, how many loaves of bread can you make from 40 cups of flour

Answers

Answer:

20

Step-by-step explanation:

Since 8 x 5 is 40, we can multiply 4 x 5 to get 20.

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